论文标题
单位化非相关库仑散射
Unitarizing non-relativistic Coulomb scattering
论文作者
论文摘要
我们将准确解决的非依赖性库仑散射与无限范围力的两种单位化方法进行了比较。这些方法需要对相应的部分波幅度进行扰动，然后将其单位化。我们将库仑部分波振幅计算为一环阶。一方面，参考文献开发了单位化方法。 [1，2]正确地重现精确溶液，随着输入扰动部分波幅度的扰动计算中的顺序提高了精确溶液的提高。这也证明是基态的极点位置。另一方面，最新的参考文献开发的方法。 [3]产生不重现已知溶液的部分波幅度，并以零结合能产生极点。
We compare the exactly solvable nonrelativistic Coulomb scattering with two recent unitarization methods for infinite-range forces. These methods require to calculate perturbatively the corresponding partial-wave amplitudes, which are then unitarized. We calculate the Coulomb partial-wave amplitudes up to the one-loop order. On the one hand, the unitarization method developed by Refs. [1, 2] reproduces properly the exact solution, with an accuracy improving as the order in the perturbative calculation of the input perturbative partial-wave amplitudes increases. This is also shown to be the case for the pole position of the ground state. On the other hand, the method developed by the more recent Ref. [3] gives rise to partial-wave amplitudes that do not reproduce the known solvable solution, and gives rise to a pole position with zero binding energy.
